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Finding the Fourth Proportional to 15,645.16, 23,465.78 and 5,114.30

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Solution

The fourth proportional to 15,645.16, 23,465.78 and 5,114.30 is: 7,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.16 : 23,465.78 = 5,114.30 : x
  2. Step 2: Convert to fraction form
    15,645.16/23,465.78 = 5,114.30/x
  3. Step 3: Cross multiply
    15,645.16x = 23,465.78 × 5,114.30
  4. Step 4: Simplify right side
    15,645.16x = 120,010,895.75
  5. Step 5: Solve for x
    x = 120,010,895.75/15,645.16
  6. Step 6: Final answer
    x = 7,670.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.